Free Printable WRITTEN WORK NO. 3

1.

Find the center of the equation $\left(x+4\right)^2+\left(y-6\right)^2=18$

a)

(4, 6)

b)

(-4, -6)

c)

(-4, 6)

d)

(4, -6)

2.

Where is the center of the circle located whose equation is $(x−4)^2+y^2=20$ ?

a)

Quadrant I

b)

Quadrant IV

c)

Along the x-axis

d)

Along the y-axis

3.

Which of the following is an equation of a circle?

a)

$3x^2+3y^2−5x+8y+8=0$

b)

$3x^2-3y^2−5x+8y–4=0$

c)

$3x^2+3y−5x+8y–4=0$

d)

$4x^2+3y^2−5x+8y–4=0$

4.

What is the radius of the equation $3\left(x-4\right)^2+3y^2=54$ ?

a)

54

b)

$\sqrt{54}$

c)

$3\sqrt{6}$

d)

$9\sqrt{6}$

5.

How do you describe the graph of the equation $x^2+y^2+4y=0$ ?

a)

a point

b)

a circle

c)

not exist

d)

a line

6.

What is the standard form of the equation of the circle whose center is (0, 0) and radius is 10?

a)

$x^2+y^2-10=0$

b)

$x^2+y^2=10$

c)

$x^2+y^2-100=0$

d)

$x^2+y^2=100$

7.

What is the radius of a circle with equation $x^2+y^2-6x-112=0$ ?

a)

121

b)

112

c)

12

d)

11

8.

What is the general form of equation of the circle having center (2, -3) and radius 6?

a)

$\left(x+2\right)^2+\left(y-3\right)^2=36$

b)

$\left(x-2\right)^2+\left(y+3\right)^2=36$

c)

$x^2+y^2+4x-6y-49=0$

d)

$x^2+y^2-4x+6y-49=0$

9.

Which of the following is an equation of the circle whose center is (3, -5) and radius is $2\sqrt{19}$ ?

a)

$\left(x-3\right)^2+\left(y+5\right)^2=38$

b)

$\left(x+3\right)^2+\left(y-5\right)^2=38$

c)

$x^2+y^2-6x+10y-95=0$

d)

$x^2+y^2+6x-10y-95=0$

10.

Which of the following is the center and radius of the equation $x^2+y^2-2x+4y-4=0$ ?

a)

C (-1, -2) ; R = $\sqrt{3}$ units

b)

C (1, -2) ; R = 3 units

c)

C (1, 2) ; R = 3 units

d)

C (-1, 2) ; R = $\sqrt{3}$ units

WRITTEN WORK NO. 3

Total questions: 10

Worksheet time: 5mins

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